FPGA-driven pseudorandom number generators aimed at accelerating Monte Carlo methods
Why this work is in the frame
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Bibliographic record
Abstract
Hardware acceleration in High Performance Computing (HPC) context is of growing interest, particularly in the field of Monte Carlo methods where the resort to Field Programmable Gate Array (FPGA) technology has been proven as an effective media, capable of enhancing by several orders the speed execution of stochastic processes. The spread-use of reconfigurable hardware for stochastic simulation gathered a significant effort towards effective implementations of hardware pseudorandom numbers generators (PRNGs) - these generators needed to exhibit a statistically proven random behaviour and to be charactarized by a very long period. In this paper we present the state of the art of hardware pseudorandom number generation in the context of Monte Carlo acceleration. We highlight the emerging trends over the most recent publications and suggest some insights on the forthcoming works. Furthermore, we provide a complete hardware description of a new gaussian variate generator (GVG) and an exponential variate generator (EVG) based on a decision-tree technique of ours, herein presented as well. The prototypes implemented on a Xilinx Virtex II Pro XC2VP100 FPGA occupy from 150 to 417 slices and reach 280 MHz, while exhibiting good statistical behaviours with high p-values on the x <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> test and offering a unitary Knuth ratio.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it